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Find the equation of the tangent to the curve y = x² -3x +5 at the point (1,3).The tangent is a straight line of the form y = mx+cTo find the gradient, m, we first differentiate the function:dy...

3x+3x-4=5,6x-4=5,6x=9,x=9/6,x=3/2

A product of prime factors is a set of prime numbers that multiply to make the requested number. Essentially, when a question asks you to express a number as a 'product of primes', it wants you to break t...

What is a prime number?
This is a number which can only be divided by 1, and itself. 1 is not considered to be a prime number. The first few prime numbers are: 2, 3, 5, 7, 11, 13. An...

With a problem like this first you must pull the necessary information out of the question. It can make it more familiar if we assign single letters to the unknowns. In this case the unknowns are, Johns a...